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Finding the Fourth Proportional to 998.26, 1,497.68 and 721.24

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Solution

The fourth proportional to 998.26, 1,497.68 and 721.24 is: 1,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.26 : 1,497.68 = 721.24 : x
  2. Step 2: Convert to fraction form
    998.26/1,497.68 = 721.24/x
  3. Step 3: Cross multiply
    998.26x = 1,497.68 × 721.24
  4. Step 4: Simplify right side
    998.26x = 1,080,179.23
  5. Step 5: Solve for x
    x = 1,080,179.23/998.26
  6. Step 6: Final answer
    x = 1,082.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.